On the Breakdown of Perturbation Theory

Details On the Breakdown of Perturbation Theory On the Breakdown of Perturbation Theory

1992-12-04

arxiv.org/abs/hep-th/9212033v1

Theor.Math.Phys.95:491-498,1993; Teor.Mat.Fiz.95:187-196,1993

Physics

High Energy Physics

High Energy Physics - Theory

(13 pages), CPTH/C209-1292 (Talk at the Kiev Conference on: Modern Problems in QFT, Strings and Quantum Gravity, June 1992)

Scientific paper

10.1007/BF01017133

The production of o(1/g^2) particles in a weakly-coupled theory is believed to be non-perturbatively suppressed. I comment on the prospects of (a) establishing this rigorously, and (b) estimating the effect to exponential accuracy semiclassically, by discussing two closely-related problems: the large-order behaviour of few-point Green functions, and induced excitation in quantum mechanics. Induced tunneling in the latter case is exponentially enhanced for frequencies of the order of the barrier height.

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